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Finding the Third Proportional to 182,374 and 272,831

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Solution

The third proportional to 182,374 and 272,831 is: 408,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,374 : 272,831 = 272,831 : x
  2. Step 2: Convert to fraction form
    182,374/272,831 = 272,831/x
  3. Step 3: Cross multiply
    182,374x = 272,831 × 272,831
  4. Step 4: Simplify right side
    182,374x = 74,436,754,561
  5. Step 5: Solve for x
    x = 74,436,754,561/182,374
  6. Step 6: Final answer
    x = 408,154.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.